Uniform convergence of sums of order statistics to stable laws

DOI10.1007/BF00322023zbMath0628.60034MaRDI QIDQ1093242

Arnold Janssen

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

order statisticsvon Mises conditiondomain of attraction of a stable law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Cites Work

• On domains of uniform local attraction in extreme value theory
• What portion of the sample makes a partial sum asymptotically stable or normal?
• Normal and stable convergence of integral functions of the empirical distribution function
• On the rate at which the sample extremes become independent
• Independence of order statistics
• Local limit theorems for sample extremes
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